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Regularization methods for a problem of analytic continuation

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  • Xiong, Xiangtuan
  • Zhu, Liqin
  • Li, Ming

Abstract

In this paper, we prove a sharp stability estimate for the problem of analytic continuation. Based on the obtained stability estimate, a generalized Tikhonov regularization is provided and the corresponding error estimate is obtained. Moreover, we give many other regularization methods. For illustration, a numerical experiment is constructed to demonstrate the feasibility and efficiency of the proposed method.

Suggested Citation

  • Xiong, Xiangtuan & Zhu, Liqin & Li, Ming, 2011. "Regularization methods for a problem of analytic continuation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 332-345.
    • Handle: RePEc:eee:matcom:v:82:y:2011:i:2:p:332-345
    DOI: 10.1016/j.matcom.2011.08.005
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    Cited by:

    1. Xuemin Xue & Xiangtuan Xiong, 2021. "A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation," Mathematics, MDPI, vol. 9(18), pages 1-11, September.

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